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Phase-fitted Numerov type methods

delete2007-01-01
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PRE
AI
A
A. G. Bratsos
I
Ioannis Th. Famelis
Α
Ανδρέας Κόλλιας
C
Ch. Tsitouras *
DOI:10.1016/j.amc.2005.11.175delete
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Abstract

Abstract

En 中文
We present a hybrid two step method for the solution of second order initial value problem. It costs only five function evaluations per step and attains sixth algebraic order. The coefficients depend on the frequency of the problem and satisfy zero dissipation and phase-fitted properties. So the method is well suited for facing problems with oscillatory solutions. Numerical tests justify our effort. (c) 2006 Elsevier Inc. All rights reserved.
Keywords:
initial value problem
second order
oscillatory solutions

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

No organization information available